Hi! Just Got my Day Date President!

[akmpres]

Hi,
Long time Rolex owner, first time poster! Just took delivery of my dream watch, a Day Date President, 18K yellow gold. I bought from the owner of the watch, the serial number starts with 7, no letter, so it most likely dates back to 1982 1983. There are three quirks with it that have been on my mind and I hope somebody can clarify if I should send it in for service or, that’s just the way it is.
#1 the day sometimes is off center, “Saturday” is a big culprit, it will be in different locations through the day, but I get nervous when once I saw the S slightly covered by the dial. The day favors staying left centered, as apposed to directly in the middle.
#2 some times while walking I can feel the rotor move, slight vibration from the watch. It happens once in a while.
#3 I have the champagne dial face, it is thatch like. At certain angles, esp. in bright light, I see white spots on it.
I have a local Jeweler whom I’ve been doing business with for years says he can fix the day and refinish the dial. Or should I send it to Rolex Service Center? That will cost me well over $1200 to fix I assume.
Ill post some pictures of my timepieces this week!
Best