I'll quickly list out my thoughts on every component you've chosen and how you could improve them, albeit generally at more cost.
• CPU: Not a terrible CPU for what you're looking to do, but definitely not the best. If this was only a gaming system I would have no complaints, but since it's not, I do. Editing applications like Adobe Premiere and After Effects would benefit greatly from a multi-threaded CPU and would result in fewer hiccups. You may want to look into a cheap i7, Xeon, or even Ryzen processor with multithreading, although they will generally cost a bit more.
• CPU Cooler: Not a bad cooler. Most people I've encountered like this cooler, but I personally have never had one so I can't vouch for it.
• Motherboard: Gigabyte makes good motherboards, and for the budget, I don't have complaints about the features.
• Memory (RAM): You'll definitely want some more RAM. Windows 10 64-bit by itself uses at least 4GB and background tasks are going to use quite a bit more. My computer personally idles at 7.25GB of RAM. If you're looking at editing you'll want to look into 16GB.
• Storage SSDs are great, but they're expensive. If your budget is very limited, I may recommend either throwing it out for a large HDD or swapping it out for a small boot SSD and a medium sizes HDD. Games and raw files for video and editing software are usually pretty big.
• Video Card: Not a bad card. 1050 TIs are probably the best performance for the price.
• Case: A budget case is a budget case.
• PSU: No! Please no! Your PSU is probably the most important part of your computer because it has the chance of being the most expensive part. A bad or cheap PSU will end up taking the rest of the system with it if it decides to go. If you're going to splurge on anything, please let it be the PSU. There's a list of recommended PSUs here on Tom's Hardware that you may want to go through.
http://www.tomshardware.com/forum/id-2547993/psu-tier-list.html
• OS: No complaints if you want Windows but I'm sure other users here will complain because of all of the built-in reporting features (that you can disable by jumping through some hoops).
• Sound Card: People still buy these? Not getting one would allow you to pick up a motherboard with a decent built in sound card probably.
I was looking into throwing together a build that I believe would meet all your requirements without sacrificing too much, but every attempt puts me at about $1,000 which is well over your budget.