Hi Alfin,
Just me, after 50 years of fighting Model A studs:
1. Per your first crucial remark, "Next week" ..... no time to just talk about it.
2. Per your "The stud is either broken or is stripped and "spins" in the block."; and,
Per your question, "1) Are there any repairs you can suggest assuming the stud is not broken that can tighten the stud without removing the head? No .... a stud spinning in a block is not something to "play" with ..... immediately remove head to investigate further the "exact" cause and to "entirely" remove this questionable spinning stud.
3. Per your question, "2) If I the stud is broken and it's flush with the block whats the "best" way to remove the broken piece?" No time to loose ..... The "best" way? Go to Mr. Vince Foster's Ford Garage where he illustrates an old vintage proven "welding" method used for years:
http://www.fordgarage.com/pages/studremoval.htm
If needed call a friend with a welder or go to Harbor Freight to buy a cheap MIG rig for under $100.00 and weld washer & stud per directions .... might take welding more than once of 1st or 2nd weld breaks.
4. I'll need a new head gasket- Is there a "Best" one to get?
Get Bratton's silicone gasket. Disregard installation instructions of "not" providing gasket sealer and coat both sides with non-hardening Permatex No. 2. Mine is on for 10 years with no leaks and no re-torquing.
Not trying to sound abrupt, but with only a "few days" left to get ready, and your wanting to "win" this battle, please get out of the "Fox Hole Defense Mode" and immediately assume a vicious, "Full Attack Mode."
Again, just me.