I recently lost my financial aid for my Spring Term that was meant for my Fall/Spring Terms. If I was to lift my suspension by the end of Spring, would the remainder of the grant be transferred into my account during the beginning of the Summer Term? Or would the remaining amount be irretrievable.

You need to talk to the financial aid department of your university. But they normally do not pay past, only future, Your schools department is trained in the rules and also know why you lost it and how that effedts

Definitely ask at the financial aid department. They would be able to answer your questions and be able to decide if it can be reinstated.