well, it is a mess. I'm not warship expert, but my understanding is:
Rules are scattered through TW, TO and SO. Basically I think you need all three to do warships. SO has most warship specific rules, but since it builds on dropships and aerospace, which are covered in TW/TO, you'd need all three to have all the rules.
Record Sheets, there's been no mass update since Aerotech. There's a few scattered in various Jihad Turning Points. For the rest (most) you will have to go back to TR 3057R and/or Record Sheets Aerotech 2, both of which have been out of print for forever.