Efficiencies that people talk about are:
Mash
Boil Kettle
Fermenter
Brewhouse
I list brewhouse separately because some folks consider the BK the brewhouse, while others (and beersmith) consider the fermenter the brewhouse.
No one seems to specify which one they're talking about when they spout off a number - I'm guilty of this as well. Beersmith will provide you with the Mash and Brewhouse/fermenter efficiencies. It's typical to see the Mash efficiencies in the 80-90s, while the Brewhouse will be somewhere from 50-90s. I personally see low 80s Mash and high 70s Brewhouse/Fermenter.
I didn't expect you to see doughballs but thought I'd ask just in case. I suspect you're process is good; it either needs a little tweaking here and there, OR your missing numbers are calculation/volume issues.
Being a 3-vessel person, I don't squeeze the grains. Any amount of squeezing you do is extracting more wort than I ever get, so I doubt your squeezing (or lack thereof) is the issue.
Your sparge amount is quite small (1.5 gallons), but I've read reports of folks who "no sparge" and hit around 70+ fermenter efficiency. So adding a small sparge should push that number up a few/several percentage points.
Your crush looked very fine which should work to your advantage.
Your mash time of 60 min at 150 should technically be sufficient, but I would have probably pushed it to 75 minutes just to be super safe. However, I think it's unlikely this is the culprit but can't be ruled out completely.
Volumes? Variations in your volume measurements will cause significant differences in your efficiency numbers. You need accurate volume measurements to get good efficiency numbers. At the very least, you need to know your grainbill and your fermenter volume and gravity to get a fermenter/brewhouse efficiency which is what most folks like to see in the mid-70s or higher (but a consistent 70% is nothing to balk at!). Equally as important, perhaps moreso, is to know the mash efficiency so you can determine where your efficiency drop-off is coming from. If the sugar never leaves the grain then you'll alway have a lower brewhouse, but if the sugar is leaving the grain just not making it into the fermenter then you need to look at your BK losses.
What I've just said above is in no way perfect but it's fairly accurate. I'm sure I've left out some details that could use covering but at this point it might be helpful to see:
-Your complete recipe
-Your accurate volume measurements
It gives us a place to start. Also, you've provided some gravity readings but you've also stated that your hydro off by a few points (approx. 3 points high by my count). So if you stated above a gravity of 1.053, was that corrected and you were actually reading 1.056? Or does that need to be adjusted to 1.050 because you didn't account for correction?