Since last week I am running a web server (Apache2 on Ubuntu, accessible by IP only) and I reckon that I am most vulnerable now that I don't know well what to pay attention to, so I'll ask the experts just in case.
When looking at the access logs, I can trace back most of the accesses to myself. Then there are several innocent looking single GET requests, but also some more suspicious accesses: wget accesses to configuration files, an intended php injection attack, intended accesses to what look like database servers, etc. All of these requests were denied btw.
Should I do something about this beyond keeping the software updated etc, like reporting them or taking additional security measures? Should I keep monitoring the access logs?