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Display Application widget on Lock screen android

I am stuck with one of my client requirement , it seems not be feasible to me as i am not able to find anything related to this particular requirement.I am goggling but does not came up with proper clue.I though studied the below mentioned link which states that it is not supportive . Here is the link :-
How to force a widget to appear on lock screen programmatically (Android)
i just want to confirm that is it feasible ? Or this can be achieved by making custom lock screen for application.
Here is what my client requirement is :-
I need your suggestion here , please let me know .
Thanks

i just want to confirm that is it feasible ?
As I wrote in the answer to the question that you linked to, the standard Android lockscreen framework only supports app widgets from Android 4.1 through 4.4, which is a steadily shrinking portion of the Android device ecosystem.
Or this can be achieved by making custom lock screen for application.
Android does not support the creation of custom lockscreens, other than by building your own modified version of Android, poured into your own custom ROM, installed onto whatever hardware your custom ROM supports.
There are plenty of developers who claim to create custom lockscreens. Those actually require you to disable the device lockscreen, then their apps attempt to interpose themselves between the user and ordinary apps. At the best of times, this offers weaker security.

Open multiple application in single window

In one of requirement I need to develop an application where user can launch two application in separate area of screen.
Say Application A in half of the part of screen and in rest of part other application.
I know this could not be straight way to achieve it, but is there any possibility to build such kind of app/launcher. I checked some of mobile ROM support multi application window support.
Any suggestion to achieve this.

You'd have to have this support done on system level, same way Samsung did for example. W/o this you are out of luck.

this is system level thing unless you make you own customize rom it pretty much impossible to do ,if you want to make customize rom then you will be able to do since its an system level this launcher uses system property to do so.

how to permanently override android soft keys behaviour and display through

I am relatively new to android and want to create an application that permanently overrides androids basic softkey behaviour and view (for devices with soft keys).
Some functionalities I want to implement are changing the size of the softkeys window at the bottom, change its images, and possibly change its functionality.
For example, the user can set the size to of the softkey to be "large", "medium" or "small". And I can change the functionality of the back button to open say a particular application instead of going "back".
I'm basically looking for a high level answer as to how to do this, a basic direction of what I should read/study in order to be able to accomplish this. I realise this may require root access.
Please note that I want this behaviour to change not only in my application but I want the effect to exist on all applications. If this requires the application to be running atleast at the backend, that is fine.
After doing some decent amount of search, it seems I will have to make changes in the systemUI.apk, or possibly get its source code and modify it. Is this correct?
Thanks in advance.

I don't think even root is going to be enough for the type of changes you are describing. You're going to need to edit the Android source code and build your own system image.

Well you can't override system resources because they are part of the system image.
What you are looking for is called Home Application which can be developed like any other android app no need for root , you can find an example for it in your sdk samples.
Home Sample Application.
your app would be responsible to have UI components to send the user to all of the phone functionalities which includes:
Place for wegits
Place for apps listing (menue)
Access telephony functionality (call, phone history ...)
Access settings.

Operating system level security Android

I have a requirement for trying to develop an alternative to the current pin password security system on the android operating system. The main goal will be to try and replace the current password system with an alternative that uses one of the hardware features on the device. Is this possible as a third party? Or, would you need to go to the specific head set manufacturer to get the ability to circumvent or change the current security system?

I believe there is no API which is specifically designed to replace/be a pluging to a lock screen on Android.
However, people found several clever way of implementing it:
Replace home screen
Showing activity on top of lock screen
Take a look at these questions:
Where can I find examples or tutorials about creating a custom android lockscreen?
Customizing Android Lock Screen functionality?

How to customize Android's LockScreen?

I know that there is already some apps can do this, such as:
WidgetLocker Lockscreen
Flyscreen
I want to know how to do this in my app? What classes I can use? Or what articles I should read? I don't want to change the Android's source code.
And I wonder if it will be different to deal with when the screen is locked by draw pattern?

Have a look at this answer. You need to write your own home screen app which will implement the lockscreen behaviour that you require. There is sample code for writing your own home screen app in the Android SDK.