I can collect you by car on Monday night (we can meet near the car park) and we can have a drink in name. I will be on my own.Then I can take you home on the way to the airport. I would really like to see you but will understand if you are too busy - but I will be really sad!!

Pazartesi gece arabaylar toplayacağım (yakında otopark görüşeceksiniz) ve name´de içecekinsiniz. Ben tek başına. O zaman ???????

Seni çok görmek seveceğim ama eğer sen çok meşgul ben anlayacağım - ama çok çok üzüleceğim!! 

Thank you for all corrections. Mainly I want to know if this will be understood and where it is totally wrong please!!!

 any help appreciated please

toplamak is to make a collection of somethings as a hobby or to add some numbers.

here what you want to say is to take, to bring with my car. so, almak is the verb that you need:

Pazartesi gece seni arabayla alabilirim.

As you want to talk about "we", the verb suffix should be proper, and the tense is not future. Ability verb suffix is: -abilmek/-ebilmek. and the verb may be better as buluşmak more than görüşmek:

Otoparkın yakınında buluşabiliriz

"to have a drink" would be translated as "to drink somethings" in Turkish better:

name´de/da birşeyler içebiliriz

Now, you are talking about future;

Ben tek başıma olacağım

"then" is "sonra" here;

Sonra, seni havaalanı yolundan eve bırakabilirim

would like= want= istemek

Seni görmeyi gerçekten çok istiyorum ama çok meşgulsen bunu anlarım, yine de gerçekten üzülürüm.

Thank you VERY much for your corrections and advice. It is very much appreciated