1)The ghost is sympathetic to Gertrude )is sympathise with a synonyn?)

2)In the morality play characters stood for human qualities, either good or bad (or good and bad??)
3)show sympathy for someone, to feel pity for (is "to pity someone also correct?)
4)When the "Vice" was represented like (and not as) a clown, he wore the traditional dress made of colored scraps of cloth
5)Gertrude's imagination is working feverishly and may cause her bodily harm (can you express this sentence in a more concise way?)What is a synonym for feverishly?
6) He pleads Hamlet to show sympathy to G. (is this construction also correct?)
7) The ghost spurns Hamlet into action (is into correct?)
Thanks

1. You could leave it as is, or you could write, "The ghost sympathizes with Gertrude." One is an adjective; one is a verb. They are not interchangeable.

2. Put a comma after "play," and use it as is. (Nothing in the parentheses.)

3. All three expressions are correct, yes.

4. Are you referring to "Vice" as one specific character? If not, then delete the quotation marks and use lower-case v.

5. Gertrude's imagination is working feverishly and may cause her harm.

6. He pleads that Hamlet show sympathy to Gertrude. OR He pleads to Hamlet that he show sympathy to Gertrude.

7. The ghost spurs Hamlet into action.