Pending H1b Transfer

It is possible for another company to petition you if you have already been counted against the H-1B Cap for the FY in question.

Removal proceedings

That depends what you want to do. If you simply are granted time to voluntarily depart, the time frame could be a matter of weeks.

Can a simultaneous application for permanent residency of Canada create any hindrance in the L-1 visa process from India to US?

No, the L-1 visa application should not impact your Canadian residency application or vice-versa.

If I've been approved for DACA and have a EAD a DL and a social security card what other places could I travel to ?

You can travel within the US with those documents.

Received the form N 652 - Decision cannot yet be made.

You must wait to see what the USCIS does next. They may be waiting for a background clearance.

My current H1b expires in June, and my next H1b starts in Sep. Can I change to H4 during the 3 month gap and change back to H1B?

Possibly. You should consult with an immigration attorney.

Since you haven't mentioned what evidence you did supply at the interview, it is impossible to say whether the office really "needs" the additional...

I-751 denied

You may be scheduled for an interview. If the case is denied, you would be referred to an immigration judge. Hire a good attorney.

I-751 and entry to the US

You will not be granted a tourist visa again. You need to hire an attorney.

Second MS degree no opt allowed and need H1B

Your F-1 can remain valid as long as you are maintaining status. A Cap-subject H-1B will not be effective until October 1 2015 at the earliest.