What was a proposed alternative to Segwit?
Double the size the block from 1mb -> 2mb.
What did Segwit solve more than just the scaling issue?
The malleability problem with alter the design of the signature to defraud people. The signature is not a part of the transaction data structure which is the txid. The txid get hashed and dont including the signature to get hashed anymore.
How is Segwit and the Lightning network connected?
Lightning network is a second layer protocol which are predicated on segwit code change.
Are people, wallets and other services forced to use Segwit?
Segwits force people, wallets or other services to use it, if your wallet don’t support segwit, you won’t be able to send bitcoin to a native segwit adress, you also pay higher fees than someone using a segwit bitcoin wallet.