Yes, if your employer contributed $8,200 and you were over 55 on December 31, 2021 with a family plan, you should have no over-contribution. This is true as long as you had HDHP coverage every month of the year, never had Medicare in 2021, and did not have an over-contribution from a prior year.
Form 5329 is solely used to calculate the penalty on the over-contribution. The calculation to determine your allowable and actual HSA contributions can be found on Form 8889.
When you are reporting your contributions for the year, your contributions from your employer are pre-tax dollars and reported on your W-2 in Box 12 with Code W. If you made any paycheck deferrals, that amount is also included in the Box 12 amount. You only use the Any contributions you personally made field if you contributed out-of-pocket to your HSA. If your current year contributions look good and it is still saying you have an over-contribution, this may be due to a prior year. A prior year overcontribution would be on Form 5329 Line 42.
