I think you did a good job.

I like how you did the concrete embeds with sloped water shedding angles. Good choice.

If I were to critique anything (sorry, just my nature) - I would recommend you run a string line instead of using a level. Differences in heights can be seen easily (at least by me) in the top of the fence. The bottom looks straight but the tops vary by fractions of inches. Best to use string lines to keep things straight as opposed to 'level'. Taking a step back to observe the 'overall scene' helps too. Often it's better aesthetically to match existing than to 'do it right'.

If it bothers you with the difference between black decorative features and silver structural ones, you could hit those with black to match and/or painted wood color to match.

I'd also recommend a front side catch release (either string/cord)...someday your arms will be full and you'll be bothered how difficult to open the gate from the front side.

The only other appearance thing I'd critique is: The public side of the fence isn't 'flat'. The gate differs from the post and the pickets on the framed side are inset from the post as well. Perhaps thin spacers to keep everything flat on front would be helpful? Or perhaps a thinner piece on the post? That post just looks odd jutting out so proudly.

Lastly...something that is common is called a 'slam board' (that's what we call them) - it's where the gate slams against a piece of wood as opposed to depending wholly on the catch to stop the gate's momentum. It's a lot of force applied to a small area...and over time, expansion and contraction will loosen hardware.

I feel you should be very pleased with your results. They're very good for a first build.

If you ever do build another one...remember humans generally like 'straight lines' in non-organic designs and vastly admire 'symmetry' (like evenly spaced screws and screws in perfect alignment). There is nothing here in this build you should be ashamed of it's a nice build with good materials and wise component choices.

I don't wish to point out any other observations because I feel you'd think I was being overly critical! Ultimately, a fence needs to keep out what you want...or keep in what you want (whether that be people, animals, or visibility) - and you've managed all that. As well as have the option of adding security. Minimally I'd put in some sort of gate closing arrestor - as I believe that will be your first failure point).

Thank you for sharing this build. I don't mean for my eyes to see things or share them with you in a disparaging manner. This looks much better than my first attempt at a build!