Are you certain they are side effects of the acupuncture? You went in with cervical disc problems which can cause all of the issues you are describing, so I’m assuming you had some of these previously - headaches, particularly? Some muscle aches following the first 1-3 appointments are possible as the treatments loosen muscle tension in the area, etc. But, again, they are common with cervical disc issues as well.
Now the dizziness can happen from a certain posture with cervical disc issues or it can happen with improper or excessive treatment. You don’t mention if you had any of these symptoms before the treatment if even occasionally. This wouldn’t last so it’s not a huge concern, but if your acupuncturist only needled your scalp and didn’t use any other points I would find another acupuncturist.
None of this, however, was because you “moved a little bit” during the treatment - in theory you could get up and run around and not cause any problems with 90% of the acupuncture points when they are properly needled.