Help with a Vintage Omega ref. 131.002-62

Hi first time poster here!

I've been searching and reading around the Internet for awhile now and feel kinda "ready" to purchase my first vintage timepiece. I love the look of the 60s omega dress watches, most notably the ref 131.002 with the 286 calibre. I like the clean dial without any extraneous text. I hope I can get your thoughts on a piece I'm considering purchasing on ebay. I've attached photos of the watch but I will also include the link to it below:

Vintage Omega Watch, Original dial Ref 131.002

The seller states the movement has recently been serviced but no other service history. The dial is stated to be original, but I'm hesitant because the condition looks great. Hands are original but the crystal was replaced sometime ago. The movement looks good to me, but I'm still new to buying vintage pieces. Sellers feedback looks good as well and looks like he/she has sold other vintage pieces as well.

Anyway, it looks genuine to me, but I defer to the experts. I would appreciate any help or feedback. Thanks ahead for your time.