I think you should think about updating/upgrading your LAMP stack as well. PHP 5.3.3 is EOL for a while now and your server is potentially vulnerable.
www.php.net/eol.php
For the 5.3 branch end of life was 14 Aug 2014, so 4 years and 7 months ago! And you don't even have updated to the latest version of this branch (5.3.29).
Your MySQL version is even older: 5.1 EOL date: 2013-12-31.
So please update your LAMP stack to recent versions.
Help us to help you!
Provide your LS version and where it is installed (own server, uni/employer, SaaS hosting, etc.).
Always provide a LSS file (not LSQ or LSG).
Note: I answer at this forum in my spare time, I'm not a LimeSurvey GmbH employee.
Sorry if this might sound harsh, but I think it needs to be said:
No, I can not recommend to run ANYTHING in this environment. This environment is potentially dangerous and I can not recommend to run any web application in this environment, let alone an application like Limesurvey that collects (personal) data from respondents. You have a responsibility for the collected data and your respondents expect you to handle their data with the utmost confidenciality and data safety, which with such an outdated is not possible to guarantee.
In times of GDPR (even if outside of Europe it will get you one day, because many countries are planning on implementing similiar things) you should make sure your system is safe and up to date.
Sorry, my only recommendation is to setup a secure and up to date server environment.
Whatever ties your hands to this server enviroment should rethink this. There are always possibilities of security issues in software, even in the most recent versions. But using software versions that haven't been updated and are EOL for 4-5 years is basically asking for problems. Today robots are scanning the web continously, just checking for vulnerable software, it is only a matter of time until they find it.
Help us to help you!
Provide your LS version and where it is installed (own server, uni/employer, SaaS hosting, etc.).
Always provide a LSS file (not LSQ or LSG).
Note: I answer at this forum in my spare time, I'm not a LimeSurvey GmbH employee.