Is the Lightning Network used strictly for small transactions between two parties or can one party use it to send a large quantity of BTC (e.g. 35 BTC) to the other party? Is there any advantage to sending large amounts using the Lightning Network vs. using the normal bitcoin Blockchain?
Large payments can be split into multiple smaller payments, but sending 35 BTC would be impossible unless you had a direct channel with the recipient. For such a large payment, you should generally use an on-chain transaction. I guess you wouldn't mind paying a premium fee for such a high-value transaction to place it in the first block in the mempool, so LN's instant payment settlement wouldn't be a huge advantage.