The Tenerife police have not been providing frequent updates.
I recommend Websleuths to anyone who wants to read up on what is known about his disappearance - their mods have had to shut the thread (now on to part 3) several times to give them time to delete SM/speculative comments. Posters there are allowed to post their theories, but they have to say that they are just that, theories. Anything asserted as fact has to be backed by links to official statements or approved mainstream media.
And it has to be victim friendly, and whatever his past, Jay is the victim. There is no reason to think that his crime in UK a couple of years ago is relevant to his disappearance now.
He was on his first holiday without his parents (presumably after his sentence was completed), with friends (different reports give different accounts of who/how many)
After the end of NRG, at least three met up with 2 other men, who (according to some accounts) they'd met up with several times before during the trip - so it seems they were holiday acquaintances, not complete randoms. Jay went back with them to theirs in the north in the very early morning. We don't know how much the worse for wear he was.
He posted a pic at theirs early morning.
He left, seemingly of his own accord, and asked a local about a bus. Instead of waiting for it, he set off walking (same local says she saw him on the road, heading away from the direction of his own accommodation)
He had contact with friend Brad, in which he may have been off road as he said he slipped/tripped, sounding OK. About 20 mins later, call with Lucy, in which he needed a drink, had been cut by a cactus and phone battery about to die. Sent last ping.
Lucy raised the alarm, police did not start searching straight away but did begin in the following hours
The two men stayed on an extra day in order to speak to the police, who do not believe they are relevant to the enquiry.
Searches have concentrated in the areas near his last ping (except for one day when they moved to the south following a lead that was discredited)
Searches continued for several days, involving specialist teams, dogs and drones. Searches now called off, but the case remains open.