My comments are as to the USA, but probably relate to other countries as well. There could also be post-9/11 Federal and state security rules that could also affect the off-job life of any airline employee to prevent the compormise of safety and security.
The 'bottle to throttle' and other related rules set by Federal and state laws as to alcohol and drugs are well established and clear as to Pilots. Generally though a suspension or revocation of a Pilot's vehicle drivers license can cause the same as to any pilot's license, and not just for DUI. The rules as to not being in uniform in a bar is more of a universal airline rule and not a Federal rule as far as I know. I would suspect that any arrest for the use of illegal drugs could lead to the same actions.
Any airline, just like most other employers, can also suspend or fire (within the law) any employee (pilots or non-pilots) for other crimes, including driver's license problems, minor one like shoplifting, or more serious like assult and battery, drug violations or for any job rules violation (like drinking in uniform).
Many airlines, as well as most employers, also may require those with alcohol or drug problems to go to consuling and rehab required after the first violation, and if caught a 2nd time, then terminated from employment. That could be not just as to pilots.
As to the personal financial status and employment, that would be really set by the airline. Perhaps some airlines do an annual credit report request of employees to make sure that people in financial trouble cannot cause comprimises of safety. I know in my job, as a legal assistant and working on sensitive cases, I had to submit the right of my employer to get a copy of my credit report to work there on those cases to prevent financially troubled people from selling out sensitive info to get out of debt. All states have laws protecting an employee from a loss of job due to financial issues such as a court notice to your employer for unpaid child support, credit debts, alimony or phone calls from a disguntled separated or ex-spouse looking for her late alimony payment. Still, the airline/employer may take some action if the problem is so serious to affect safety and service.