Sub-blockchain or sub-tokens for ERC20 tokens?

Hello – so I’m planning a project where I’ll need:

• To issue ERC-20 tokens for specific sub-projects (Project A, Project B, etc.)

• Tokens will be publicly available to trade like normal cryptos

• I need control over all tokens, so others can’t just replicate

• Some sort of umbrella contract/token to issue subtokens per project

1. Is this possible on Ethereum? If so, how?

2. The subtokens needs to ERC-20 as they need to operate as cryptos

Thanks in advance!