My site ranking has dropped in recent 2 weeks ?

[Mustansar]

I have a quick question to ask you guys,
I have my site (www.webuycarstoday.co.uk) It used to rank very well for all my target keywords. But recently all keywords dropped massively. I can't seems to find a good reason of this drop. We have not change anything which may have caused such drop.
Any suggestion or advice to get into the problem.

I would appreciate your kind responses.

[Igor.Go]

This can be a penalty. Yur backlink profile is far from the cleanest I've seen.
48000 backlinks and a trust score of 6, not the best sign.

For instance,
You have 2000 backlinks from a directory which also links to gambling websites, 
700 backlinks from a website which triggers privacy error in chrome
500 backlinks from a Spanish website 
300 backlinks from a French website 
200 backlinks from a Japanese website — all these websites have nothing to do with cars

You have a lot of links with optimized anchors.

I would start digging in this direction to make sure that you haven't been penalized

[Eric.W.Caudle]

Although your site appears to load fine, Pingdom reported a load time of 6.41S. You have a number of redirect chains, scripts that could be combined, large request size, etc.

Most of these things are easy to fix. There are many services out there where you can get a decent report. The report will give you a good list of fixes to make. I use https://tools.pingdom.com

I've seen page load time (especially after recent site changes) adversely affect site ranking more than any other single cause.