1. What was a proposed alternative to Segwit?
The first initial intention was to fix a bug in the bitcoin code called transaction malleability.
But the proposed alternative was: Bitcoin Cash because it would increase the block size.
2. What did Segwit solve more than just the scaling issue?
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Supports the development of second layer protocols, such as the lightning network.
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Removed the signature portion of the transaction
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Allowed more transactions to be included in 1MB blocks
3. How is Segwit and the Lightning network connected?
Segwit and Lightning Network are both second layer protocols.
4. Are people, wallets and other services forced to use Segwit?
Segwit is not a hard fork, therefore anyone is free to choose to use segwit enabled wallets or not.