Shrug I guess it depends on your playstyle. I am not a minmaxer and I feel the level 2 and 4 perk choices are fairly flexible and allow for an Intense Training or two
Yup, same. Plus I don't use VATS so half or more of the Perks are "useless" to me...so I like to get IT a couple times to make up for the fact I often like a high CHA.

Weight carry can be extremely frustrating in the game, depending on your patience & roleplaying/realism desires. I think it's 10lbs extra carry weight capacity per point in STR, which doesn't even cover most Legion amors. So you'll never be able to be to 'pick up everything' without constant trips back to a merchant. Pick & choose what's worth picking up. Price per pound, haha. If you're on PC, you can easily mod it however.