MA law: Unemployment ceased for temp job, now temp job on hold for medical issues

When you say ". . . end the temp job", that sounds like quitting. In New Mexico, that would probably disqualify you. Refusing a job offer might also be somewhat problematic, though the specific rules around here seem open to interpretation. Also, being medically unable to accept employment is sometimes a problem. Your state is different, of course. MA is much more employee oriented.