Great job you resolved the conflict without getting physical and stayed in control, thats a big thing in a situation like that. Any fear or panic crying or shock could have changed that situation to near hostage or AAK or toaster nunchuka time. You did well.
As for helping any suspect that the cops are looking for is bad business if founded out it makes you an accomplishes or partner to his crime. You didn't know what he had done, bleeding and drunk he couldn't be trusted, 15 yr. olds kill now days.
And at that you let him hide out, he dies from his unknown injury or alcohol posioning or whatever now you have to explain a dead body in your basement or house. After the cop search end, bad business any advice like this, helping a fleeing suspect, imho should be IGNORED!
Only mistake you made was not locking your door, if police lights are common, why wouldn't you unless you just need someone to practice your Kenpo on