Before covid I was working at two places. One place let me go because I was no longer needed but offered me a job when covid settles down. The other place I had to limit my availability(due to transportation). I am collecting underemployment through PUA. Do I still qualify for underemployment because I lost a job because of covid or since I was let go/fired do I not qualify anymore. Do I qualify?
Depending on your state/province/country...
You do qualify for unemployment if your job was eliminated through no fault of your own, your hours were cut under a certain threshold, you were terminated for other causes (e.g. bad job fit), or you're furloughed for a certain time period (you don't get paid, but you keep your benefits).
You do not qualify for unemployment (or in this case, underemployment) assistance if you engage in gross misconduct, such as theft, intoxication, assault, breaching trust, embezzlement, etc. Quitting a job also will disqualify you from unemployment.
IMHO, Job #1 let you go because you weren't needed, and Job #2 let you go because the job wasn't a good fit (transportation issues), so you should still qualify for underemployment assistance.
Your DUA (department of unemployment assistance) will help you if you have questions.