Tourist office Kaštelir-Labinci (open Monday to Friday from 9 to 12 and from 17 to 20). Check their website https://visitkastelir-labinci.croatia.hr/en-gb
Banks and ATMs: the closest bank is in Tar, about 5 km from Kaštelir. They don't have an ATM, however. So if you need some cash the best way is to go to one of the markets on the way from Tar to Lanterna (Tommy or Kiwi), where there are ATMs. Bank cards are accepted in all markets, but not neccesarily in restaurants.
Markets: The closest market is just 260 m away (see Market Kovači on the map). It has all the most important goods, it is open every day till the evening (except on Sundays), and accepts bank cards. Market Tommy is about 6 km away on the way to Lanterna and has almost everything you will need, including a wine store from a local producer. There are two more markets, Plodine and Kiwi farther on the way to Lanterna.
Local fruits & vegetables & wine: we like the fruits and vegetables from Peter, a local farmer you can find on the way to Lanterna (his place is on the map, too). His olive oil is one of the best. You will find local wines in markets or at the producers, like Cossetto in Kaštelir (just some 50 m farther away from the market Kovači). The wines in Istria have become much better in the last decade, but there are also places where you can get bad wine for a bad (high) price... therefore it is best to avoid roadside booth wine sellers.
Bike rent: I've seen some places where bikes can be rent, but I'm not familiar with details. Too hot for summer biking for me. However, you can get fresh information in the Tourist office.
On the map there are four beaches, two of them at Lanterna peninsula:
Lanterna (10,3 km): The beach on the west side has nice flat rocks and is best when there is east, south or soth-west wind (also because Mirna then flows into the sea farther away to the west). The east beach has nice flat rocks and a pebble beach. In both cases you can park along the road, however, you will need to get in. One way is by using a hotel card we got at the reception a few years ago, the other is to park your car outside the gate and walk to the beach (around 1 km).
Busola beach (12,7 km) is free of charge, not much farther than Lanterna. You can park very close to the sea (you could even drive in if you prefer:), and it is lovely! We like it because it offers a lot of shadow. On the map you will find the place where we stayed most of the time, but the beach is quite long and worth exploring. The re are some pubs where you can get icecream, warm snacks, beer, wine...
Poreč beach (15,8 km): the most wonderful thing of the beach of Poreč are the huge pine trees. The beach is actually in a park. Parking isn't free, but it is reasonable.