Let's take it one step at a time... What antibodies were tested? Did you have, both, TPOab and TgAb to rule out Hashimoto's? Did you have a thyroid ultrasound? Some people have been diagnosed with Hashimoto's based on the characteristics of their thyroid tissue.
TSH is a pituitary hormone that stimulates the thyroid; if the thyroid is working fine, TSH levels should not be getting too high. Why not start by posting your actual lab results so we can see what they are? It's possible that your thyroid hormones may be in the normal ranges, but they aren't high enough for you.
Some viruses and bacterial infections trigger autoimmune reaction; TSH is affected by a wide variety of things and may vary by as much as 75% over the course of a day. Make sure you're being tested for Free T4 and Free T3, which are the actual thyroid hormones, not just TSH, which is an indicator, at best...
Have you been tested for STD's to make sure you're negative for those?
TSH is not indicative of an autoimmune condition. If the antibodies are negative, you don't have an autoimmune condition, unless it's a condition for which antibodies weren't tested.
Herpes is virus and many of us have the herpes virus in our body, since herpes is what causes fever blisters/cold sores on our lips, etc, so that may be why your doctor said it was fine that you have herpes antibodies.
Since your TSH was 15, which is definitely over range, that is an indication that something isn't right with your thyroid. Without seeing what your thyroid hormone levels were, I can't really tell you much. It's very possible that your thyroid hormone levels were low enough in the range that your pituitary gland thinks your body needs more, so it's putting out more TSH in an effort to stimulate your thyroid. The only way I can know that is to see your actual thyroid hormone test results.
TSH is linked to thyroid activity... while a variety of things can affect, it's not directly linked to anything else. Your sexual encounter from 3 months ago would, most likely, only have caused elevated TSH you had contracted some type of STD and apparently, that didn't happen... Your thyroid antibody counts are normal, so there's nothing attacking your thyroid; there's no reason to believe a virus has anything to do with your elevated TSH.
CRP does not measure bacteria; it's a measure of inflammation, which can be caused by a number of things, including viruses, bacteria, injuries, etc.
If you've already done 4 HIV tests in 2 months and they're all negative, I'd say "no", you don't have HIV and that's not causing your elevated TSH...
Your free T4 is at 53% of its range, which is very good and indicates that your thyroid is producing adequately, at this time. It's unfortunate they didn't do a Free T3, which is the active thyroid hormone that's used by nearly every cell in your body.
It's true that thyroid enlargement could/would accompany a thyroid condition and since you don't appear to have one, it's not surprising that your thyroid is not swollen or enlarged.
As I've noted, TSH can fluctuate as much as 75% over the course, of a day and because your thyroid hormones are more than adequate, plus your antibody counts are negative, there's no reason to think you have a thyroid condition.
There are a number of things that can cause the symptoms you have, that are not thyroid related... they may not even be virus related; they could be related to some other vitamin/mineral deficiency, food allergy or something else, entirely.
I don't think you understand what I'm saying... I don't believe an STD caused your TSH to be elevated, since all of your tests are negative. TSH is affected by many things, other than direct thyroid hormone levels. Since your thyroid hormone levels are normal and all of your tests have come back negative, we have to conclude that there is nothing wrong with you. There are some people who simply have a high TSH...I know someone who has a TSH of around 20 all the time, and their thyroid hormones are normal, they feel fine, etc. That's just their TSH level. You may be that way, also.
Dry skin can be caused by many things, including, but not limited to cold weather, taking too many showers and not using adequate moisturizers. Leg pain and tingling can also be caused by numerous things, such as too much exercise, sitting too long or in the wrong position, etc.
Again, waiting 6 months to retest may help shed some light on what's going, but if, at any time, you need medical care within that time, don't hesitate to get it...