I don't think these two errors are related, but there are several potential solutions for the first one, the error while loading the application plugins. This could be a Studio problem... might not be too!
First of all if you are using W7 please make sure you are fully updated to the latest service pack.
Next please rename the following folders and reinstall any plugins you are using (note that you will have to reinstall them as this is going to remove them all):
c:\Users\[USERNAME]\AppData\Local\SDL\SDL Trados Studio\14\
c:\Users\[USERNAME]\AppData\Roaming\SDL\SDL Trados Studio\14\
c:\ProgramData\SDL\SDL Trados Studio\14\
Finally, this problem may be coming from leftover registry keys created from previous installations. Please use the Registry Editor and go to this key:
The Studio 5 folder corresponds to Studio 2017, Studio4 to Studio 2015 and anything below that relates to older installations of SDL Trados Studio. If you no longer have those versions installed then please delete the leftover registry entries (Studio2, Studio3, etc)
Then on the empty.gif error. Try copying the file from inside the zip file below to the location below:
Hopefully something here will help you.