Splitting a position in Metatrader

I am new to Forex, simply using demo accounts at this time. One thing that puzzles me at this time is that apparently metatrader is purely a ticket based number, i.e. if multiple trades for the same pair are outstanding, they are not aggregated.

Can somebody confirm that I cannot do the following in metatrader:
- Buy 2 lot of EURUSD @ price A
- Sell 1/2 of the previous (1 lot) but @ price A+x
- Sell second 1/2 of the previous (1 lot) later at price A+y

Trying to do that would result in 3 open trades, instead of being back to 0 open trades.

This seems to severely restrict the way in which to manage positions. Is this true? Is this true for all brokers (my understanding is that at least Oanda would allow the scenario described above, not confirmed yet).

You can do what you suggest in MT4. Once the trade is running just double click on it. In the window that opens change the lot size down to what you want to leave running and click on close. That will then close part of the trade and leave the rest running.
hth,
Les