Grandma's Spirit in my house? Wierd things happening.

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So my grandma died on the 22nd of December. It was a massive heart attack that no one saw coming. She was only 67. So she had an electric fireplace that my dad gave to me along with a coffee table and a doll that she collected. Ever since he brought those over to my apartment, weird stuff has been happening. The day after he brought those over I was getting ready to leave and my t.v. turned on. The remote was in a drawer of the coffee table and no timer was set on the tv. I looked down and saw a picture i had of her on the fireplace was on the floor. I picked it up, put it back and nothing had happened for a few days. I went to her grave to fix her flowers and when i came home i had a series of events happen. 1. I went into the kitchen and saw in a battery charger 2 batteries in the wrong spot, i would never put them in the first two slots because i know it doesn't work, they were in there. 2. my phone started ringing and stopped when i got to it (cell phone) I looked at it and there was no missed calls. If my phone rings and i don't get to it, it will say 1 missed call and the time and will also have a flashing light. there was nothing, not even anything in my missed calls list. 3. I clearly remember going to my front door and checking to see if it was locked. it wasn't and i knew my husband was coming home soon so i left it unlocked. when he got home, it was locked. 4. one of my babys toys fell to the ground out of no where 5. dog started barking at nothing, she never does that. all this happened in one day. not to mention that every day once in awhile i will get a strong smell of grandma's house. it comes and goes. i talked to my dad about all of this and he told me that they were over at her trailor after she died and my nephew who is about 10 said he saw grandma standing in the hallway. my other nephew was talking who is about 5 told him mom grandma was here. she told him, no she's not, and he said, "ok, we will pretend she's not here" my son woke up crying the other night and just kept his face burried in his pillow and the covers over his head like he saw something. Am I crazy??? Does anyone believe in spirits or could this be the devil playing tricks on us. I would like to believe she is here and she is watching over us. It wasn't her time to go maybe and so she is sticking around for awhile??? What does everyone else think? Anyone gone through the same thing?