A: You may be able to. It will depend on several factors, such as whether your description of services is the same or similar to TJE Logistics' description of services; and whether you or TJE Logistics may be required to disclaim certain words; and what other similar marks are registered or being used in the US. There may be other factors, depending upon your specific situation. Consult with your own trademark attorney.
A: Every licensed attorney has a legal and ethical duty to keep confidential everything you disclose, unless they let you know in advance that they may have a conflict of interest. Many people consider this to be sufficient to protect your interests. You can also ask the attorney to sign a nondisclosure agreement, if you have one ready.
A: If a patent or patent application has been abandoned, then you don't have to worry about infringing it - nothing you do now would infringe. If the abandonment happened recently, you'll want to figure out whether the applicant still has a chance to revive or appeal, and keep an eye on it.
If the timeline of your invention coincided at all in the past with a period when the other patent was granted and in force, there could be claims from that time. But not now. There also could be issues if you ever worked with or for or had some contractual relationship with that inventor, and they're claiming that you took their ideas in some way.
Anything revealed in the lapsed patent or patent application is prior art. But, if you have a patentable improvement to it, you might be able to get your patent granted.