Aloha,I am not sure of Texas licensing laws, but in states I am familiar with, the Principal Broker is "on the hook" for all RE activities of his licensees and unlicensed staff.

Just getting an unlicensed handyman out to fix a dripping faucet or a broken towel rack will probably set you back at least that much, and a property manager is going to take 100% of the first months rent (so run your numbers at (11/12)x($2600) for actual income).   

Where the only time someone would be reprimanded for taking a fee for assigning a contract (aka wholesaling) is when someone has reported them for doing unlicensed real estate activity?

I have seen some of the most half-a____ work done by "licensed professionals", and some of the most beautiful craftsmanship done, and at a lower cost, by unlicensed handyman with English as second language.

When it come to a total fix and flip house which tasks could I get unlicensed contractors to do and which tasks require permits? 

Unlicensed all the way.

"unlicensed/uninsured handyman" Have you read every inch of your insurance policy??

One advice my insurance agent gave me is that for rental properties, if I used an unlicensed guy, the insurance company may deny the claim if something happens, if the guy gets injured.

Hey Edwin, these guys are pretty protective of their data...that said, there are 10,000 individual MLS's...the major metros are controlled by a few big data firms like Core Logic or Flex MLS...our board eliminated shared logins and implemented fines...so, an agent can lose their license by letting an unlicensed individual login under their account (this is a local regulation of course).

You also mentioned there is a bathroom and bedroom, which means plumbing done by a unlicensed plumber and electrical done by a unlicensed electrician.