Thank you - that is a very detailed description of how to go about changing the icon to what I desire.
On the hosting issue: I have tried all that you mentioned. It worked for one second, and then it went back to not saving any of my work and freezing constantly. My host is siteground - the guide does say that it should work (while it is not the best). Do you really think I will have to change my hosting provider to make this work? It would be a bit of a pity, as the contract with them continues until August.
Thank you again for your swift response and help.
Edit: I usually use Firefox, and I had tried Safari to see if it was a browser issue. I just tried Chrome as well - and hey it looks like it is working with Chrome. It is still quite slow, but looks promising. Maybe add that to the list of possible things to try if someone else encounters this issue also.