Okay, I'm going to try to hit all these in moderate detail.
1. with the blue cobb intake do I need a tune after install?
No, if you install the Cobb Short Ram Intake (SRI) you will not need a tune. The Cobb Turbo Inlet Pipe (TIP) is a different item. It connects to your intake (it will work with your Futita. You will not need a tune after installation. However, you should unplug your battery after you install these items to reset the ECU. You need to then drive gingerly for about 80 or so miles until the ECU learns how to breathe through the new pieces you've added.
2. with the cobb tuner will it work with my fujita cai?
The Cobb AccessPort will allow you to reprogram the ECU with the map of your choice. You will need to select the best map that fits your mods. In your case, there is a Stage1 FUCAI 93 map. This means it is a map for cars without exhaust modifications who use the Fujita CAI and run on 93 octane.
3. never had a turboed car before but took it out to the track for the first time and ran 15.6? why... I have always driven a manual but can't figure out why im not running faster.
This car's clutch is very fickle. In order to perform a succesful launch, most drivers find it useful to feather the clutch out from 3500-4000 revs instead of immediately dropping the clutch. In your case it was two problems. First, you had the DSC/TCS on. Second, you were overrevving the car at 5,000 revs. Through launching correctly and not missing shifts, some users have seen low 14's come from this car stock. There may even be some who have seen high 13's.
4. are the engine and diff mount worth purchasing?
I have the upgraded rear engine mount. Installing that suddenly made 1st gear useable. I didn't have a problem of the car hopping due to engine whiplash going from first to second even under normal driving. Second to third gear shifts were also drastically improved. I have not gone ahead with a rear mount yet, but from reading other users' testimonials I've seen that they swear by it. It helps greatly to eliminate wheel hop. It also may save the life of your axels. If the rear differential is not held stable, then it changes the angles that force is applied to it -which can damage or destroy it under extreme load (such as the track).
thanks for the input and spell it out for me in not all that great with the Abbreviations. thanks again. plus any good upgrades with low budget for power.Some performance items for a low budget are the Cobb Turbo Inlet Pipe ~$175, TWM's Short Throw Shifter ~$125, Shifter baseplate bushings ~$35-40, Test Pipe (for temporary removal of the 2nd catalytic converter) ~$120. All of these are a good way to get started. I hope this helps!