It will be totally unefficient. 6 AG is really bad idea.I suggest you to forget about toughness, and go for 1 LK.Put SPECIAL points into max agility, END 8, and one more to INT. Buff a lil bit FA and DOC skill.Instead of BRD and toughness, choose quick recovery, and some support perks (maybe bonus move if you play TB).3 CH is useless, just take mentats and you can handle anything.But please, note: this build will still suck in PvP (same as yours), but at least, you can do PvE without any problems.
Well having some BG skill and at least one burst is generally good idea because you can level it up very fast to max proffesion level (usually lvl 6-9 of char). But it is useless to try to mix more proffesions since you can reach only proffession lvl3 in single character and believe me anything else than lvl 3 profession is just wasted effort making alt. You will need to craft plazma rifles, avangers and brotherhood armours. Everything else is plentifull via NPC traders (steall from some npcs, sell to traders, fast profit). Crafter alt sould be optimized to achieve lvl3 proffesion as fast as possible. Playing it further is prety useless though it will stand no chance against any PvP dedicated build even in PvE PvP junkies are much better.I suggest you lvl some other crafter (10int, skilled) to lvl 8 take armourer 3 and spend the rest of the time leveling dedicated PvP build which will bring you much more fun though you can actually kill someone with it.
Well in case of buying you are right he will need mentats to buy 2 but to have them around 3 ch is enough. Looks like I missed it out from my post so thanks for mentioning.