1) Can I make several transfers to the same address in Electrum or do I have to use a new one every time.
You can send Bitcoins to the same address everytime in Electrum. Electrum doesn't delete private keys but its not recommended due to privacy concerns.
2) If I only use one address => Would transaction fees than be lower as Electrum does not have to combine coins from several adresses to send to one output?
No. Sending from one address doesn't mean that there will only be one input. Each input is a reference to a previous transaction. For example, if you received 100 transactions of 0.01BTC each and send 1BTC to another address, it would be MUCH bigger as compared to another transaction which spends from 10 addresses with 0.1BTC in each of them.
The number of inputs is what matters, not the number of different address used.