Is this a computer virus or something else?

So, I restarted my computer this morning, and when it turned back on, the internet explorer icon had been replaced by an IExplorer icon. I clicked on it, and it looked pretty legit--it said it was some kind of Ipad/Iphone/Ipod transfer thing by Macroplant. It also offered to update me with version 3.2.2, saying I already had version 3.1.5 (even though I never download or installed this thing). Even on the Start menu, internet explorer was replaced by the IExplorer icon. However, the real IE icon was placed in another spot on the start menu, so I can still access the internet. On my desktop, there's now a "uninstalled" version of IE that offers to install IE 8; it also says I already have a version of IE 8 and if I install it, I will not be unable to uninstall it. I read online that iexplorer.exe is a trojan virus, and I was wondering if anyone knew if I had it. I'm not sure, since it seemed legit and the icon only said IExplorer, without the exe. I'm not really good with computers, so I'm sorry if I'm not seeing something obvious. I was wondering if someone could maybe tell if I had a virus or not, or how that thing got onto my computer. Some extra info: someone told me to delete it. I deleted the icon, and then I uninstalled it from the "remove apps" menu. It then told me that not all parts had been able to be removed, and I would have to manually delete them (How?). Right after that, I got both a Microsoft error message (saying that "iexplorer.exe" needs to close) and a Macroplant error message. The Macroplant error message says it is checking for a newer version. Since the Microsoft error message says iexplorer.exe, is this the same as the iexplorer.exe trojan?

Added (1). Doruletz1999, I'm aware that IE and Internet Explorer are the same thing, BUT IExplorer is a different thing.

Added (2). And please guys, stop telling me to get a different internet browser. The person in my family who sets up new computers installs IE, so we all just use it. I'm aware that other browsers are better, but right now I just want to know about my problem/potential virus.

System restore your pc back to a date before this happened, in the search bar type in system restore, or restore, go through the process and pick a date from a couple of weeks or even a month ago, no documents like work or anything personal will be deleted, this should work

Get rid of internet explorer and use Firefox! Use avast as only antivirus program.use ccleaner.com to clean registry. And malwarebytes for malware

It doesn't appear to be a trojan: http://www.macroplant.com/iexplorer/