A scenario where this could happen is that a person is running two instances of the bitcoin software (in 2010, the software had cpu mining capabilities) on different machines with the same wallet file. Under this scenario, it is likely that he had copied the data from one machine to the other, which includes the wallet file. Then set both machines to start mining. Because they are using the same wallet, they will use the same pubkeys in their blocks.
So what happened is that this miner got lucky and both machines mined blocks. It is not unusual to see blocks with times very close to each other. It just means that the miner got lucky.
This address isn't dormant/dead address either. It received and sent bitcoins later in 2010 and even in 2015. However, the two original coinbase transactions are interesting because one 8e23... mined coins were spent, but the mined coins from 5559... transactions were not.
This "address" (it isn't an address actually. blockchain.info is displaying this incorrectly) has only sent Bitcoin once. This "address" received Bitcoin in 2015 from a low amount spammer. These spammers will just send small amounts of Bitcoin to random addresses, usually for tracking purposes.
Additionally, the particular scriptPubKey used in the coinbases is a P2PK scriptPubKey. This scriptPubKey does not actually have an address. If you look for just this scriptPubKey, you will find it was only used in those 2 coinbase transactions.
It is not unusual for an "address" with multiple UTXOs to create a transaction that leaves out some of its UTXOs. Nothing strange about that.
Are the coins from 5559 actually legit and unspent?
Yes. Just because they haven't moved doesn't mean they aren't.