Let begin with the diplomacy bug... first pic show that i have ceasefire and Peace treaty with the Luopica colonist... but they continue to shoot Novalith warhead to my planets...

And it was long time that i was at peace with them... it was not a "delayed" warhead... and there is more to come !!!

Since planet vision pact was done, it cannot be say that they don't know who own the planet... With Novalith spam in Rebellion and Novalith who don't respect peace treaty, all the diplomacy thing from the game become useless...

As for the trade bug, it is related to the trade line... once these become to much long, they are not anymore show correctly... in the screenshot below, trade line is showed in white... in orange, it is a section who is not anymore show but planet remain in the list ( if needed, i have a save game at these stage )... line was show fully before i build trade port in the last planet ( ice planet )... later, when i have capture the little moon near the ice planet and build trade port, the trade line show was these in orange ( have a savegame at these stage too )

And there is a other minor problem too... since 0.61, screenshot give sometime strange result like these show below... it is really random... but only happen after some ship become invisible in game, never before...