This seems straight forward to me. The computer specs are definitely outdated and certainly below what is needed for hi sample rates, high track counts and any fancy processing needed if using a bunch of plug ins.
You should have no problems if you optimize your system and run at 44.1 or 48.
Also run Latency Mon which like the loop back test, I think is mandatory for setting up a DAW.
http://www.resplendence.com/latencymon You can also run DPCLAT test on Windows 7, won't work on W8. I like it because it's more visual but it doesn't tell you why like the resplendent test does.
http://www.thesycon.de/deu/latency_check.shtml Also that offset equals issues with your tracks not lining up perfectly. Myself I would add the manual offset and get it closer. We've all been messing around with this and I think it's critical for syncing to be as close as possible for good recordings. Especially if you are using audio a lot for things like bass. Midi is quantized so doesn't matter.
http://forum.cakewalk.com/Lets-all-TEST-our-Interface-driver-for-offset-m3178396.aspx