Is there a way to check reactions? I'm very new to organic chemistry. 
I would like to practise simple reactions (HX + Alkenes, X2 with Alkenes and so on) with examples i create myself. Is there a way to check if my products are correct? 

I have access to Chemdraw and ChemSketch, however I don't know how and if these tools can be used to do that, i.e. draw a reaction , or two educts and let them show the product.

Is there any software available which can do that?
In August 2018 IBM launched a free cloud service called IBM RXN. This neural network is quite young, but it is constantly being trained, and the prediction should get better over time. I haven't used it all that extensively, but it seems it works quite adequately for simple reactions, including the OP's case. For example:



They also published a great paper [1] which describes on which base their AI operates.

References


Schwaller, P.; Gaudin, T.; Lányi, D.; Bekas, C.; Laino, T. “Found in Translation”: Predicting Outcomes of Complex Organic Chemistry Reactions Using Neural Sequence-to-Sequence Models. Chemical Science 2018, 9 (28), 6091–6098. https://doi.org/10.1039/C8SC02339E.
(Open Access)