One immediate question comes to mind: will you be using your system primarily for movies or will you be listening to 2-channel music too? What would be the approximate percentage split?
Here are some points to bear in mind:
I think you're going to struggle to tick all your boxes (at all), but particularly with your budget and presumably your quest would include genuinely 4K ready components.
Once you limit yourself to wireless rear speakers, there are very few options indeed.
Budget floorstanding speakers tend to sound poor in many rooms, and sound even worse on the end of a budget AV receiver.
Depending on your responses to the initial question about how you intend to use the system, I would recommend forgetting rear speakers altogether and maximising your budget with a 3.1 system (front left, right, centre and subwoofer). Many newbies tend to like the look of floorstanding speakers and undertandably assume that bigger equals better, but generally speaking, for floorstanders to perform well they need even better quality amplification to prevent the bass from sounding bloated and overwhelming the entire frequency range and cheap floorstanders will probably sound poor regardless of the amplification. At the budget end, it's better for a subwoofer to handle the low frequencies (it will have its own amplification). I'd seriously consider looking at decent bookshelf speakers and a subwoofer. Maybe look at the Q Acoustics range.
The other issue is that normally you can stretch your budget by buying last year's components, but a lot of AV equipment is hitting a watershed this year when it comes to genuine 4K readiness: most of last year's discounted models aren't really 4K ready even though some of them had "4k" labels on. (The actual 4k standard hadn't been completely agreed upon until after many AV receivers had been released).
4K Bluray players don't exist yet and the merits of 4K streaming are still very limited in content and their quality (unless you have a very high-end wifi speed) is debatable.
If you want an AV receiver that's 4K compliant, look for the HDMI 2.0 / HDCP 2.2 spec, but that will limit you to receivers that have been released very recently (or haven't been released just yet by some competitors), so the prices will be at their pre-discount peak, which doesn't help your budget much.
Personally if I was in your shoes, I'd be inclined to wait a while until the market settles down a bit.
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