After checking your errors and URLs everything seems to point to restrictions in your hosting.
You could try to use our default easyblog.php file to discard that your modifications are the problem, but there are 99% chances that the problem is in the hosting provider.
The main problem seems to be that you have not writting permission in the CSVEAT.csv file.
You should be able to change that file permissions using your hosting control panel.
I hope it helps!