So, let's "back the truck up" for a moment...
In your original post, you had a no start, and excessive fuel smell, "like it was all I could smell".
Now with a re-set computer you have a start/run, great news but now with other issues you didn't have before. So at this point, we've bounced around here and there but we still don't have confirmation of what caused the original no start condition.
White smoke typically relates to moisture, and often can be a sign of coolant entering the combustion chamber, (blown head gasket) although it doesn't seem likely in this case, especially since it went away. Now you say it's burning oil. Is there still smoke (much more blue than white) coming out of the exhaust after it has idled for a time? Remember our trucks will mist in the exhaust a fair amount until warmed up after sitting a couple of days anyway.
The tick in the video is quite noticeable. Question, you said you "checked the engine level" was this the oil? How low was it? If so, did it happen to smell a lot like gasoline? Was it thinner than it should have been? Pure speculation, but suppose somehow you dumped a lot of fuel into the engine with the no start problem, and it washed into the crankcase, gas in the oil would thin it out, and cause a lifter issue, along with other wear problems. Take another look at the dipstick, use your sense of smell, same for the oil fill cap underside. If you smell a lot of gas, lets get the oil and filter changed pronto.
Check the coolant condition and level while you are at it, make sure it is in good condition, and it hasn't mysteriously disappeared recently. BTW, the underside of the oil fill cap should only have oil deposits on it, if you see a milky white paste for example, then we have a whole new basket of fun to look into.
Side note, our trucks have locking gas doors, but could be defeated, might take a close look around the gas fill area for contaminants? (I know conspiracy theory, but we re in an election year, HA!) Any chance some diesel got mixed in somehow? I know not likely but we have to wonder.
Still no check engine light? With all that said, others have noted a slight off adjustment in the timing belt could cause the tick, you've already experienced that once, is the noise the same as it was then or different? I'm still not convinced of the timing belt giving trouble based on the quality of parts used, and your documentation of the repair, as well as a second set of experienced eyes you had on the project. It would be nice to nail down the cause of this no start first without throwing parts at it.
You'll get it worked out, and earn your diploma from the school of hard knocks.
