what's an integration point? Within a finite element the stresses are only calculated at a couple descrete points. You may have noticed that you have a choice between fully integrated and reduced integration elements. For example, a typical 4 node plain strain quad element has 4 integration points within it. A reduced integration 4 node quad only has a single integration point within it.
How do I get my integration point values? You should be able to obtain the actual integration point values from within your post processor. In ABAQUS, I use the "probe" function to get this. The probe is accessable from the icon of the i with the circle around it.
From other software packages, I am not sure how to get the integration point values, but, if you have the values printed to a text output file, those values should be integration point values. In fact, it will probably have the integration points numbered and a table of values below it.
Is it possible that the Von mises stress in a particular element will decrease if I continue to increase the loading? Absolutely! There are many cases where this is possible, such as a non-linear material definition. After a certain point your material may be loosing stiffness as it begins to fail. Another case would be if your part comes in contact with something, begins to buckle, or simply moves enough that your load path changes. Linear codes will not pick this up, but non-linear codes will.
Best regards and Merry Christmas!