Your flopbet is very much on the small side in my opinion. Even if your hand is very strong I'd still go for 1.40-1.55 here. Actually this flop isn't to good for your UTG range so I'd strong consider x/raising or x/calling OTF (mostly x/raising tho since we nailed the board).

You don't really give info about your villains in all your hands (stats, reads) so it's tough to say much about your lines. If villain is aggro I like the turn x/shove (as played, overall I prefer flop x/r) b/c once you check here you'll get a lot of stabs from 986 type of hands from many villains.

With the SPR you can't do anything but shoving river. You're not gonna fold and villain is not gonna valueshove worse of bluff for 1/6th of the pot. Just shove and hope to get called by something random.

The line looks fine to me, seems like a good board for villain to flaot and we can protect our equity, get the worse river card but with 1/5 of a PSB I am just sticking it in and than being sad about losing out on the EV dollars.

I did notice a problem with your calculations though 

0.35*($7)+0.65*0.42*($37)+0.65*0.58(-$18)

The gain from showdown should be expressed as that and not include our stack into the equation.  So the gain would be pot+remaining stack ($7+$18=$25)

so this will decrease the value of the shove to ~+$2.5

Intuitively this seems correct since we need about 45% equity on the flop to breakeven with no fold equity.  This is why it's very common to shove in these spots where we figure to have about 40% equity against a wide range since we can steal the villains equity with our presumed fold equity.

Also as Suniram said, bet bigger on the flop, wet semi connected boards like this I like to typical bet 70-80% of the pot.