Yes!
Shouldn't the Electrum Wallet generate New Address to send to?
No, Electrum (and any other wallet you use) generates the same exact addresses that you had because that is how deterministic wallets work. Your seed phrase is used to generate all those keys deterministically (meaning it can be reproduced).
Are there any other options, steps or methods except Electrum Wallet to be created?
There are other open source wallets such as Wasabi wallet but Electrum is the most user friendly one which has been around the longest and is considered to be safest among SPV clients.