The gift isn’t the crime.
Telling people you’re holding a sweepstakes, collecting their information based on that statement, and then not holding the sweepstakes and instead giving the supposed prize to someone of your choice is the crime
It’s called fraud
Recounts do not include submitting new votes.
And either way, good luck getting a partisan controlled office to institute a recount or re-vote in the current political climate.
You are gambling on the hope that the problem gets fixed later. This is a terrible idea.
And local election offices - often under partisan control - have no obligation to assist individuals in getting their ballot cast.
You are either being extremely naive to the realities on the ground, or intentionally disingenuous.