You do not have to hire an attorney, however if you are unaware of the laws, and especially if you are advised that your application can be denied,...

1) If I find another job and the employer files H-1B petition within 60 days grace period, can I immediately start working with the new employer or...

Start with FOIA and consider what are the basis of the denial. If the process seems complex retain an attorney who will file the application on...

He will have to convince the POE officer he is visiting and will timely depart after. The POE will determine whether he can be admitted.

New visa is not required if you have a valid H-1B visa on your passport based on a prior employer's petition

You can show for the first semester and to present a strong application submit an affidavit from a sponsor.

For the most part, departure and fresh entry cures a past violation. However there are other consequences which are not wiped out for other...

So you entered on H-4 but did not work until now? What happened to your H-1B job offer? Did the employer withdraw their H-1B?

The HR is not completely correct. Though there are some risks involved, it can be filed. Since this is their petition, ultimately it will be...

Since I don't see the value in moving to L-1 from H-1 B where you can seek extensions, please mention the reasoning to do so?