Had install completed a few days ago. Car rides very smoothly without any weird noises but I have noticed a slightly larger gap at the passenger front wheel as compared to the driver side.
Would this be considered normal tolerance? After a closer inspection of the upper strut mount. I did notice the driver center strut bolt seems to be more tightly torqued than the passenger side. 2–3 threads showing above nut on passenger side and 5–6 showing above nut on driver side. Could this be the cause?

 

should be no difference in wheel gap and all the strut bolts should be tightened down.

 

Front passenger side started to have a clunk noise. Took car back to installer and he said strut mount was broken so they replaced. (Moog) Still have issue with difference in ride height and some looseness over bumps on that side. So I jacked up the car and remove the front wheel. With some force using both hands I can turn the spring side to side a little. Then I noticed the factory writing on the spring is turned upside down. I checked the driver side that has no issues and the writing is turned upwards so it's readable. Did they install the spring upside down? Could that be the cause of my issue.

 

It's hard to tell from that picture if the spring is in fact upside down. But I highly doubt H&R applied their logos so they would sit on the vehicle upside down in plain view. There is only one way for the spring to be installed in the assembly. Yours I'm sure is wrong. Go back to installer have them replace the mount again which is probably damaged again from their dummy install, position spring properly, then find a new shop. That's a pretty dumb mistake. And they should have caught it when you came back the second time and they replaced the mount.