It may not be bad, but it sounds like there's zero accountability. If I ask my building manager to fix a leaky faucet, there's no paperwork, and if he ignores me for two months, what's my recourse - assuming that my property owners aren't as on the ball as you and your dad?
That's why you have a lease. It should outline the manager's responsibilities re: maintenance. Your options for recourse are numerous, from filing a lawsuit to not renewing your rent and moving on.
Sure, but you don't have any paper trail proving that you made any of these requests, unless you actually make your own paperwork, make copies, and submit that.