unemployment/disability/new job

In 2021 I was on UI, then Disability, then back to UI. This created a lot of red flags, but I think it got straightened out. I have not worked since Jan 15, 2021. I have been offered a full-time position today. I should start onboarding this week. My 2020 taxes were messed up because of some 1099, and I ended up owing quite a bit of money. I want to make sure things go smoothly this year. What do I need to know about taking this new job, and how are the UI/Disability payments going to affect my taxes?