Ok, I've put everything in place, but it still returns blank page. Even setting
ini_set('error_reporting', E_ALL);
is not showing any php errors. This hosting is terrible - the standart joomla functions as Jfolder::create are not working! Even with folder chmoded to 777!
So, my advise is change the hosting company. You will not be able to install any installation with these guys.
Or just contact their support for help and ask them to give you the necessary rights so you can do basic things as installing components.
I'm sorry, that is all I can do.