So if I send the coins using multibit (which seems to list the transaction as verified) will it cause a problem or not?
Again, I appreciate the help.
There is some confusion here because you are talking about more than one blockchain without realizing it.
Bitcoin, as a decentralized consensus system, operates based on a blockchain. Every full node wallet program on the bitcoin network has a complete copy of this blockchain. As miners solve blocks they are relayed throughout the entire network of connected peers, and each peer adds the new block to their own copy of the blockchain.
There is also a completely separate company called blockchain.info. blockchain.info has created a website. They run multiple bitcoin nodes, and add all the information from the bitcoin network to their own database as they receive it. Then they display all the information from their database on the website they created.
This blockchain.info company has also created their own web based wallet program that interfaces with their database and the peer nodes that they are running. When you use the web wallet that they provide, they store all the information (private keys) necessary for operating a bitcoin wallet in their database.
You have created a copy of this information and imported it into a MultiBit wallet program. This means that both the web based blockchain.info wallet program and the MultiBit wallet program currently have access to the necessary information (private keys) for operating a wallet with that address (or those addresses).
Since wallets all get their information about transactions from the blockchain, any transaction that you send from multibit should also show up in your blockchain.info wallet.
Multibit is not a "full node". So, if you send a transaction from blockchain.info, there is a chance that the Multibit wallet will get out of sync. MultiBit provides functionality to re-scan the blockchain if you find that it isn't displaying some transactions.
The thing to be aware of is that Multibit doesn't "get its info from blockchain", it gets its info from the blockchain, which it gets from peer full nodes on the network.