Okay, if you can gain access online, it should be easy to remove.
1. Go into Safe Mode with Networking like you did before, and then go to http://www.malwarebytes.org
2. Download and install the free version of Malwarebytes.
3. Once installed, update the program to the latest database.
4. Reboot your computer into regular Safe Mode.
5. Open Malwarebytes and run a quick scan. Quarantine anything it finds, including the 2 Trojans.
6. Run a full scan and quarantine anything it finds.
7. Reboot your computer into normal mode.
8. Repeat steps 5 and 6.
This should take care of your trojans, and anything else lurking in your computer. Once your done, try to go on the internet the way you normally would, and if you can access it again, that will confirm you have taken care of all the problems.
Hope this helps!
Note: Superantispyware will not remove viruses, so therefore, will not help remove your trojans. You can still download that as well and use it to check for spyware though.