Be ready for a long post, but I have a lot of experience with alcohol withdrawal. I started drinking when I was 16. It started as an occasional weekend party type thing. By the age of 18 when I went to college, it was pretty much an every Friday and Saturday type thing. By the age of 21, I would be drinking Thursday, Friday, and Saturday, along with a random weekday thrown in there. At that point, don't think I was a full fledged alcoholic yet. When I was 22 and 23, I was to the point of drinking 6 days a week. I would notice withdrawal symptoms such as the shakes and such. By 24, I was drinking daily, and it was insane amounts.
During those times, I had flirted with quitting or cutting back. I remember quitting for a month or so at a time when I was 22 or 23. I remember dealing with the withdrawal symptoms such as the shakes, sleeplessness, headaches, etc., but they really weren't bad. I'm sure I was an alcoholic at that point, but IMO, there are degrees of alcoholism and I wasn't near the worst. By age 24, that's when the daily drinking occurred. At first it was about 12 beers a day, but my tolerance was growing at a very fast rate. The last month of my drinking I was downing 20-24 beers per day. I had trouble holding down food, I'd have withdrawals first thing in the morning, I'd be puking constantly, etc. It fucking sucked. That's when I decided to fully quit, cold turkey. I'd made half ass attempts, but I was at the point where I had to do it.
The next 3 days are only what I could describe as hell. I had the shivers, insomnia, the shits, puking, splitting headaches, loss of balance, etc. On the 3rd day, I had a mini-stroke (transient ischemetic attack - spelling may be off). I was rushed to the ER and had a shitload of tests done. It wasn't anything permanent or long term, but it was a result from drinking. Most people get seizures, but I had a mini-stroke.
Anyways, I got through it. Getting through that first week is definitely a test of willpower. If I could do it all over again, I would not have quit cold turkey. It costs me more for the ER visit and neurologist visit than it would have to go to detox/rehab.
So to answer your question, I believe there are degrees of alcoholism and degrees of withdrawal. What you are having is not bad. There is a laundry list of alcohol withdrawal symptoms, but it sounds like you don't have most of them. It's hard to tell where you are at without a lot of details, but I think it's safe to say that you have a problem with alcohol.