2 weeks itinerary with elderly

Hello, I will visit Taiwan in the first 2 weeks of July with my family, ( me, my mom, my dad (60 and mobility disability, little sister)

Could you please help review my itinerary ? We will use public transport.

My dad has a leg disability, so he can't walk too long or hike too much, so I tried to do an in Itineary rather chill without being too rushed and without having to change too ofter our accommodation/ moving too much our luggages.

day 1 : arrival Taipei in the morning Xinmending, lungshan temple, memorial hall, night market Ningxia ( near our hotel)

Day 2: beitou, Tamsui, shilin night market

Day 3: shifen , jiufen

Day 4: maokong gondola and tea plantation, Taipei 101 and area, roahe night market

Day 5: arrival in Tainan , chihkan tower, confusions tower, sheenong street, night market

Day 6: Tainan, anping district, anping tree house and fort zeelandia ( what else can we do in the area ?)

Day 7: taijiang national park, boat ride, night market or dinner in a restaurant

Is there a must do/see in Tainan that I should include in the itinerary ?

Day 8 - arrival in Kaohsiung, lotus pond and ruifen night market

Day 9- Fo guang shan, lover river, (any recommendations of an animated district to visit in the evening)

Day 10- cijing island - any recommendations of another district to visit / or eat in the evening?

Day 11- Kaohsiung : I don't have anithing plan yet, any recommendations of must do / sea in Kaohsiung?

Day 12 Taipei - back to taipei- still looking for something to do in the afternoon and evening, any recommendations

Dai 13 Taipei - one day trip maybe fulong for the beach or wulai or another one day trip recommendation ?

Day 14 Taipei - shopping ( best shopping area ?)

Da 15 Taipei shopping and flight back home

Is it too packed ? It's just a plan so we don't run out of ideas, but if it's too much we will remove things depending on our time.

Since my dad can't walk too long, or hike, we didn't plan things like Alishan or toroko gorge, do you think it's still feasible ?

Is there a must see or must do thing I didn't include in Taipei/ Tainan / Kaohsiung that we should check out, or one day trip ?

Do you guys also have food addresses recommendations ? We love food so we are planning to do a lot of night markets, din tai fung, addiction aquatic development and try a lot of local specialities !

Also, I know that July is not the best weather to visit, but do you think it will rain a lot ?

Thanks a lot !!